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Simplifying -3(4p + 5) + -2(4 + -14p) = 3(5 + 5p) Reorder the terms: -3(5 + 4p) + -2(4 + -14p) = 3(5 + 5p) (5 * -3 + 4p * -3) + -2(4 + -14p) = 3(5 + 5p) (-15 + -12p) + -2(4 + -14p) = 3(5 + 5p) -15 + -12p + (4 * -2 + -14p * -2) = 3(5 + 5p) -15 + -12p + (-8 + 28p) = 3(5 + 5p) Reorder the terms: -15 + -8 + -12p + 28p = 3(5 + 5p) Combine like terms: -15 + -8 = -23 -23 + -12p + 28p = 3(5 + 5p) Combine like terms: -12p + 28p = 16p -23 + 16p = 3(5 + 5p) -23 + 16p = (5 * 3 + 5p * 3) -23 + 16p = (15 + 15p) Solving -23 + 16p = 15 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. -23 + 16p + -15p = 15 + 15p + -15p Combine like terms: 16p + -15p = 1p -23 + 1p = 15 + 15p + -15p Combine like terms: 15p + -15p = 0 -23 + 1p = 15 + 0 -23 + 1p = 15 Add '23' to each side of the equation. -23 + 23 + 1p = 15 + 23 Combine like terms: -23 + 23 = 0 0 + 1p = 15 + 23 1p = 15 + 23 Combine like terms: 15 + 23 = 38 1p = 38 Divide each side by '1'. p = 38 Simplifying p = 38
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